TSTP Solution File: PUZ018-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:11:33 EDT 2022

% Result   : Unsatisfiable 1.26s 0.52s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   64 (  25 unt;   0 def)
%            Number of atoms       :  168 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  155 (  51   ~; 104   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f317,plain,
    $false,
    inference(subsumption_resolution,[],[f314,f47]) ).

fof(f47,axiom,
    ~ on(c,sunday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_off_sunday) ).

fof(f314,plain,
    on(c,sunday),
    inference(resolution,[],[f311,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ all_on(X0)
      | on(c,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_c_on) ).

fof(f311,plain,
    all_on(sunday),
    inference(subsumption_resolution,[],[f310,f108]) ).

fof(f108,plain,
    on(b,sunday),
    inference(subsumption_resolution,[],[f107,f42]) ).

fof(f42,axiom,
    ~ on(a,sunday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_sunday) ).

fof(f107,plain,
    ( on(a,sunday)
    | on(b,sunday) ),
    inference(subsumption_resolution,[],[f106,f45]) ).

fof(f45,axiom,
    ~ on(b,thursday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_thursday) ).

fof(f106,plain,
    ( on(b,thursday)
    | on(a,sunday)
    | on(b,sunday) ),
    inference(subsumption_resolution,[],[f75,f44]) ).

fof(f44,axiom,
    ~ on(a,thursday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_thursday) ).

fof(f75,plain,
    ( on(a,thursday)
    | on(b,thursday)
    | on(b,sunday)
    | on(a,sunday) ),
    inference(resolution,[],[f66,f21]) ).

fof(f21,axiom,
    ~ same_day(sunday,thursday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_thursday) ).

fof(f66,plain,
    ! [X0,X1] :
      ( same_day(X0,X1)
      | on(a,X0)
      | on(b,X1)
      | on(b,X0)
      | on(a,X1) ),
    inference(resolution,[],[f41,f14]) ).

fof(f14,axiom,
    ~ same_person(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).

fof(f41,axiom,
    ! [X2,X3,X0,X1] :
      ( same_person(X0,X3)
      | same_day(X1,X2)
      | on(X0,X2)
      | on(X3,X1)
      | on(X3,X2)
      | on(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_off_twice_together) ).

fof(f310,plain,
    ( all_on(sunday)
    | ~ on(b,sunday) ),
    inference(resolution,[],[f282,f6]) ).

fof(f6,axiom,
    consecutive(sunday,monday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).

fof(f282,plain,
    ! [X0] :
      ( ~ consecutive(X0,monday)
      | all_on(sunday)
      | ~ on(b,X0) ),
    inference(resolution,[],[f273,f250]) ).

fof(f250,plain,
    ! [X0] :
      ( ~ on(b,monday)
      | ~ consecutive(X0,monday)
      | ~ on(b,X0) ),
    inference(resolution,[],[f246,f7]) ).

fof(f7,axiom,
    consecutive(monday,tuesday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ consecutive(X1,tuesday)
      | ~ on(b,X0)
      | ~ on(b,X1)
      | ~ consecutive(X0,X1) ),
    inference(resolution,[],[f187,f8]) ).

fof(f8,axiom,
    consecutive(tuesday,wednesday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).

fof(f187,plain,
    ! [X2,X0,X1] :
      ( ~ consecutive(tuesday,X2)
      | ~ consecutive(X0,X1)
      | ~ on(b,X0)
      | ~ consecutive(X1,tuesday)
      | ~ on(b,X1) ),
    inference(resolution,[],[f116,f40]) ).

fof(f40,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ on(X4,X2)
      | ~ consecutive(X0,X1)
      | ~ on(X4,X0)
      | ~ consecutive(X1,X2)
      | ~ on(X4,X1)
      | ~ consecutive(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_on_for_3_days) ).

fof(f116,plain,
    on(b,tuesday),
    inference(subsumption_resolution,[],[f115,f45]) ).

fof(f115,plain,
    ( on(b,tuesday)
    | on(b,thursday) ),
    inference(subsumption_resolution,[],[f114,f43]) ).

fof(f43,axiom,
    ~ on(a,tuesday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_tuesday) ).

fof(f114,plain,
    ( on(b,tuesday)
    | on(a,tuesday)
    | on(b,thursday) ),
    inference(subsumption_resolution,[],[f84,f44]) ).

fof(f84,plain,
    ( on(a,thursday)
    | on(b,thursday)
    | on(b,tuesday)
    | on(a,tuesday) ),
    inference(resolution,[],[f66,f30]) ).

fof(f30,axiom,
    ~ same_day(tuesday,thursday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_thursday) ).

fof(f273,plain,
    ( on(b,monday)
    | all_on(sunday) ),
    inference(resolution,[],[f270,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ all_on(X0)
      | on(b,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_b_on) ).

fof(f270,plain,
    ( all_on(monday)
    | all_on(sunday) ),
    inference(subsumption_resolution,[],[f269,f43]) ).

fof(f269,plain,
    ( all_on(sunday)
    | on(a,tuesday)
    | all_on(monday) ),
    inference(resolution,[],[f265,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ all_on(X0)
      | on(a,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_a_on) ).

fof(f265,plain,
    ( all_on(tuesday)
    | all_on(sunday)
    | all_on(monday) ),
    inference(resolution,[],[f262,f63]) ).

fof(f63,plain,
    ( on(c,wednesday)
    | all_on(sunday)
    | all_on(monday)
    | all_on(tuesday) ),
    inference(resolution,[],[f61,f3]) ).

fof(f61,plain,
    ( all_on(wednesday)
    | all_on(sunday)
    | all_on(monday)
    | all_on(tuesday) ),
    inference(subsumption_resolution,[],[f59,f45]) ).

fof(f59,plain,
    ( all_on(monday)
    | all_on(tuesday)
    | all_on(wednesday)
    | on(b,thursday)
    | all_on(sunday) ),
    inference(resolution,[],[f56,f2]) ).

fof(f56,plain,
    ( all_on(thursday)
    | all_on(tuesday)
    | all_on(sunday)
    | all_on(wednesday)
    | all_on(monday) ),
    inference(subsumption_resolution,[],[f55,f46]) ).

fof(f46,axiom,
    ~ on(b,saturday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_saturday) ).

fof(f55,plain,
    ( all_on(monday)
    | all_on(thursday)
    | all_on(sunday)
    | all_on(tuesday)
    | all_on(wednesday)
    | on(b,saturday) ),
    inference(subsumption_resolution,[],[f51,f48]) ).

fof(f48,axiom,
    ~ all_on(friday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_on_friday) ).

fof(f51,plain,
    ( all_on(tuesday)
    | all_on(monday)
    | all_on(friday)
    | all_on(sunday)
    | all_on(thursday)
    | on(b,saturday)
    | all_on(wednesday) ),
    inference(resolution,[],[f39,f2]) ).

fof(f39,axiom,
    ( all_on(saturday)
    | all_on(friday)
    | all_on(sunday)
    | all_on(thursday)
    | all_on(monday)
    | all_on(tuesday)
    | all_on(wednesday) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_one_day) ).

fof(f262,plain,
    ~ on(c,wednesday),
    inference(subsumption_resolution,[],[f261,f146]) ).

fof(f146,plain,
    on(c,tuesday),
    inference(subsumption_resolution,[],[f145,f42]) ).

fof(f145,plain,
    ( on(c,tuesday)
    | on(a,sunday) ),
    inference(subsumption_resolution,[],[f144,f43]) ).

fof(f144,plain,
    ( on(a,tuesday)
    | on(a,sunday)
    | on(c,tuesday) ),
    inference(subsumption_resolution,[],[f121,f47]) ).

fof(f121,plain,
    ( on(c,sunday)
    | on(a,sunday)
    | on(c,tuesday)
    | on(a,tuesday) ),
    inference(resolution,[],[f67,f19]) ).

fof(f19,axiom,
    ~ same_day(sunday,tuesday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_tuesday) ).

fof(f67,plain,
    ! [X2,X3] :
      ( same_day(X2,X3)
      | on(a,X3)
      | on(c,X3)
      | on(a,X2)
      | on(c,X2) ),
    inference(resolution,[],[f41,f15]) ).

fof(f15,axiom,
    ~ same_person(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).

fof(f261,plain,
    ( ~ on(c,wednesday)
    | ~ on(c,tuesday) ),
    inference(resolution,[],[f259,f8]) ).

fof(f259,plain,
    ! [X0] :
      ( ~ consecutive(X0,wednesday)
      | ~ on(c,wednesday)
      | ~ on(c,X0) ),
    inference(resolution,[],[f256,f9]) ).

fof(f9,axiom,
    consecutive(wednesday,thursday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ~ consecutive(X1,thursday)
      | ~ consecutive(X0,X1)
      | ~ on(c,X0)
      | ~ on(c,X1) ),
    inference(resolution,[],[f191,f10]) ).

fof(f10,axiom,
    consecutive(thursday,friday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).

fof(f191,plain,
    ! [X2,X0,X1] :
      ( ~ consecutive(thursday,X2)
      | ~ consecutive(X0,X1)
      | ~ consecutive(X1,thursday)
      | ~ on(c,X1)
      | ~ on(c,X0) ),
    inference(resolution,[],[f152,f40]) ).

fof(f152,plain,
    on(c,thursday),
    inference(subsumption_resolution,[],[f151,f47]) ).

fof(f151,plain,
    ( on(c,thursday)
    | on(c,sunday) ),
    inference(subsumption_resolution,[],[f150,f42]) ).

fof(f150,plain,
    ( on(a,sunday)
    | on(c,sunday)
    | on(c,thursday) ),
    inference(subsumption_resolution,[],[f123,f44]) ).

fof(f123,plain,
    ( on(a,thursday)
    | on(c,sunday)
    | on(c,thursday)
    | on(a,sunday) ),
    inference(resolution,[],[f67,f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 10:34:02 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (7998)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.49  % (8013)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.49  Detected maximum model sizes of [10]
% 1.26/0.51  TRYING [1]
% 1.26/0.51  TRYING [2]
% 1.26/0.51  TRYING [3]
% 1.26/0.51  TRYING [4]
% 1.26/0.51  TRYING [5]
% 1.26/0.52  % (8013)First to succeed.
% 1.26/0.52  TRYING [6]
% 1.26/0.52  % (8013)Refutation found. Thanks to Tanya!
% 1.26/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.26/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.52  % (8013)------------------------------
% 1.26/0.52  % (8013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52  % (8013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52  % (8013)Termination reason: Refutation
% 1.26/0.52  
% 1.26/0.52  % (8013)Memory used [KB]: 1023
% 1.26/0.52  % (8013)Time elapsed: 0.102 s
% 1.26/0.52  % (8013)Instructions burned: 11 (million)
% 1.26/0.52  % (8013)------------------------------
% 1.26/0.52  % (8013)------------------------------
% 1.26/0.52  % (7997)Success in time 0.17 s
%------------------------------------------------------------------------------